Find the errors in each of the following statements: (a) The probabilities that

Question

Find the errors in each of the following statements:

(a) The probabilities that a car salesman will sell 0, 1, 2, or 3 cars on a given day are the following: 0.19, 0.38, 0.29, and 0.15, respectively.

(b) The probability that it will rain tomorrow is 0.4, and the probability that it will not rain tomorrow is 0.52.

(c) The probabilities that a person buying a new car chooses white, black, silver or red are 0.23, 0.21, -0.18 and 0.74, respectively.

(d) The probabilities that a car salesman will sell 0, 1, 2, or 3 cars on a given day are the following: 0.19, 0.38, 1.02, and 0.14, respectively.

(e) In a survey of college students, it is discovered that the probability that a randomly chosen student receives flu shots is 0.37, the probability that she has a skin test is 0.58, and that the probability that she has both (flu shot and skin test) is 0.41.

Explanation / Answer

a)here sum of probability =0.19+0.38+0.29+0.15 =1.01 which is wrong as sum of probabilty for a sample space should be 1.

b) as probability of raining and not raining are complementery events; therefore

P(of raining ) =1-P(not raining) which is not from above therefore wrong.

c)as probability can not be less than 0 ; therefore error is there

d)probability can not be more than 1. therefore statement is erroneous

e) as probability of both can not be more than individual event. here as probability of having both  (flu shot and skin test) is greater than  probability of receiving flu shots which can not happen

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